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Irina-Kira [14]
2 years ago
5

Expand and simplify (x-3)(2x+1)(3x_2)​

Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Step-by-step explanation:

Did you mean

= (x - 3)(2x + 1)(3x - 2)

= (2x² + x - 6x - 3)(3x - 2)

= (2x² - 5x - 3)(3x - 2)

= 6x³ - 4x² - 15x² + 10x - 9x + 6

= 6x³ - 19x² + x + 6

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Can you simplify 37/80
Setler [38]

Answer:

Step-by-step explanation:

37 is prime, so it's not possible to reduce/simplify 37/80.  37/80 is the ratio of two integers.  We could, of course, use a calculator to find the decimal equivalent:  0.4625, but this is not more accurate than the ratio 37/80.

7 0
2 years ago
A game room has a floor that is 120 feet by 75 feet.A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet.Wha
erik [133]
We know,
1 unit : 5 feet

so, 120 ft = (120 / 5) units
                = 24 units
  
        75 ft = (75 / 5) units
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∴ Dimensions of scale drawing is 24 units by 15 units.

8 0
3 years ago
Find the area of the triangle when b=8 and h=14
babunello [35]

Answer:

56 square units

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is:

A = (1/2)(b)(h)

Here, that area is   A = (1/2)(8)(14) = 56 square units

4 0
2 years ago
2^n/2=1024<br>maths <br>find n <br>class 8​
IRISSAK [1]

the answer is above.

3 0
3 years ago
Read 2 more answers
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d
astra-53 [7]

Answer:

Step-by-step explanation:

The persons who have diseases = 19%

The persons who do not have diseases = 81%

Probability for the test showing positive = Prob of actual disease and shows positive + Prob of no disease but test shows wrong

= 0.7*0.19+0.04*0.81\\=0.133+0.0324\\=0.1654

Prob that the person actually has the disease given that the test administered to an individual is positive= \frac{0.133}{0.1654} \\=0.0804

30) A    B   C   total

    2x  7x   x      10x

P(A) = 0.2, P(B) = 0.7, P(C) = 0.1

Let D be the event that the product is defective

P(D/A) = 0.032, P(D/B) = 0.034 and P(D/C) = 0.056

Required probability =P(C/D)

= \frac{P(D/C) P(C)}{P(D/A) P(a)+P(D/B) P(B)+P(D/C) P(C)}

by using Bayes theorem for conditional probability

= \frac{0.1*0.056}{0.2*0.032+0.7*0.034+0.1*0.056} \\=\frac{0.0056}{0.0064+0.0238+0.0056} \\\\=0.156425

32) 7 digit phone numbers with repitition including 0 will be

= 10^7

Numbers which have atleast one 7 = total number - numbers which do not have a single 7

= 10^7 -9^7

the probability that a 7-digit phone number contains at least one 7

=\frac{10^7-9^7}{10^7}

3 0
2 years ago
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